Radiative falloff in black-hole spacetimes-Part I

Astronomy and Astrophysics – Astrophysics

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Classical Black Holes, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Relativity And Gravitation

Scientific paper

This is the first of a two-part contribution devoted to the evolution of a massless scalar field in various black-hole spacetimes; the second part follows this one and is authored by William G. Laarakkers. In this contribution we consider the evolution of a scalar field propagating in Schwarzschild-de Sitter spacetime. The field is non-minimally coupled to curvature through a coupling constant ξ. The spacetime possesses a cosmological horizon in addition to the usual event horizon. The presence of this new horizon affects the late-time evolution of the scalar field: The usual inverse power-law decay of pure Schwarzschild spacetime is replaced by a faster, exponential decay. The decay constant is proportional to the surface gravity of the cosmological horizon, and depends on the field's multipole order l and the constant ξ.

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